引力、电磁学的统一与宇宙学
Unification of Gravity and Electromagnetism and Cosmology
摘要：
首先论证了均匀加速电荷在平坦时空中的辐射表明需要一个统一的引力和电磁学几何理论。这样的理论，基于度量仿射$U_4$流形，构造与扭转伪矢量$Γ_μ$连接重力和电磁。这种概念上简单的扩展导致（i）爱因斯坦方程被真空能量$Γ_μΓ_ν$和标量场$Γ= Γ^μΓ_μ$修改，标量场的零模是代表“暗能量”的宇宙学常数$Λ$，（ii）“暗物质”类现象的大多数显著特征，（iii）满足海维赛德对偶性的修改的电动力学，（iv）有限且小的卡西米尔效应，并且同时，（v）舒斯特-布莱克特-威尔逊经验关系式，适用于缓慢旋转的中性天体的惊人的普遍旋磁比。
英文摘要：
It is first argued that radiation by a uniformly accelerated charge in flat space-time indicates the need for a unified geometric theory of gravity and electromagnetism. Such a theory, based on a metric-affine $U_4$ manifold, is constructed with the torsion pseudo-vector $Γ_μ$ linking gravity and electromagnetism. This conceptually simple extension results in (i) Einstein's equations being modified by a vacuum energy $Γ_μΓ_ν$ and a scalar field $Γ= Γ^μΓ_μ$ whose zero-mode is a cosmological constant $Λ$ representing `dark energy', (ii) most of the salient features of `dark matter'-like phenomena, (iii) a modified electrodynamics satisfying Heaviside duality, (iv) a finite and small Casimir Effect, and at the same time, (v) the empirical Schuster-Blackett-Wilson relation for the amazingly universal gyromagnetic ratio of slowly rotating, neutral astrophysical bodies.
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